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6400101060 = 2233529408691
BaseRepresentation
bin1011111010111100…
…11100101011000100
3121112000220211011000
411331132130223010
5101101411213220
62535024213300
7314412650523
oct57536345304
917460824130
106400101060
112794765721
1212a746a230
137acc44362
14449ddc4ba
15276d1b390
hex17d79cac4

6400101060 has 96 divisors (see below), whose sum is σ = 20598076800. Its totient is φ = 1647838080.

The previous prime is 6400101047. The next prime is 6400101079. The reversal of 6400101060 is 601010046.

6400101060 is a `hidden beast` number, since 640 + 0 + 10 + 10 + 6 + 0 = 666.

It is a super-2 number, since 2×64001010602 = 81922587156426247200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188686 + ... + 220005.

It is an arithmetic number, because the mean of its divisors is an integer number (214563300).

Almost surely, 26400101060 is an apocalyptic number.

6400101060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6400101060 is an abundant number, since it is smaller than the sum of its proper divisors (14197975740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6400101060 is a wasteful number, since it uses less digits than its factorization.

6400101060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408738 (or 408730 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6400101060 is about 80000.6316225066. The cubic root of 6400101060 is about 1856.6453058722.

The spelling of 6400101060 in words is "six billion, four hundred million, one hundred one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 408691 817382 1226073 1634764 2043455 2452146 3678219 4086910 4904292 6130365 7356438 8173820 11034657 11852039 12260730 14712876 18391095 22069314 23704078 24521460 35556117 36782190 44138628 47408156 55173285 59260195 71112234 73564380 106668351 110346570 118520390 142224468 177780585 213336702 220693140 237040780 320005053 355561170 426673404 533341755 640010106 711122340 1066683510 1280020212 1600025265 2133367020 3200050530 6400101060